The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit’s age by 4 years, then find  Nikita’s age? 

$$\begin{gathered} \text{ Let Ankits age be }x\text{ years. } \\ then the nikitas age \\ =240/x\text{ years. } \\ 2\times 240/x-x=4 \\ 480-x^2=4x \\ {x}^2+4x-480=0 \\ x+24x-20x-20=0 \\ x=20 \\ \text{ Hence Nikitas age }=22-10\text{ years }=12\text{ years. } \end{gathered}$$